dorsal/arxiv
View SchemaQuantitative complementarity relations in bipartite systems
| Authors | Matthias Jakob, Janos A. Bergou |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0302075 |
| URL | https://arxiv.org/abs/quant-ph/0302075 |
Abstract
We introduce a complete set of complementary quantities in bipartite, two-dimensional systems. Complementarity then relates the quantitative entanglement measure concurrence which is a bipartite property to the single-particle quantum properties predictability and visibility, for the most general quantum state of two qubits. Consequently, from an interferometric point of view, the usual wave-particle duality relation must be extended to a ``triality'' relation containing, in addition, the quantitative entanglement measure concurrence, which has no classical counterpart and manifests a genuine quantum aspect of bipartite systems. A generalized duality relation, that also governs possible violations of the Bell's inequality, arises between single- and bipartite properties.
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"abstract": "We introduce a complete set of complementary quantities in bipartite,\ntwo-dimensional systems. Complementarity then relates the quantitative\nentanglement measure concurrence which is a bipartite property to the\nsingle-particle quantum properties predictability and visibility, for the most\ngeneral quantum state of two qubits. Consequently, from an interferometric\npoint of view, the usual wave-particle duality relation must be extended to a\n``triality\u0027\u0027 relation containing, in addition, the quantitative entanglement\nmeasure concurrence, which has no classical counterpart and manifests a genuine\nquantum aspect of bipartite systems. A generalized duality relation, that also\ngoverns possible violations of the Bell\u0027s inequality, arises between single-\nand bipartite properties.",
"arxiv_id": "quant-ph/0302075",
"authors": [
"Matthias Jakob",
"Janos A. Bergou"
],
"categories": [
"quant-ph"
],
"title": "Quantitative complementarity relations in bipartite systems",
"url": "https://arxiv.org/abs/quant-ph/0302075"
},
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